Finding the Third Proportional to 66.38 and 100.75

Step by Step Solution

1. Step 1: Write the proportion equation
   66.38 : 100.75 = 100.75 : x
2. Step 2: Convert to fraction form
   66.38/100.75 = 100.75/x
3. Step 3: Cross multiply
   66.38x = 100.75 × 100.75
4. Step 4: Simplify right side
   66.38x = 10,150.56
5. Step 5: Solve for x
   x = 10,150.56/66.38
6. Step 6: Final answer
   x = 152.93